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Finding the Third Proportional to 71,451 and 104,962.50

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Solution

The third proportional to 71,451 and 104,962.50 is: 154,191.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,451 : 104,962.50 = 104,962.50 : x
  2. Step 2: Convert to fraction form
    71,451/104,962.50 = 104,962.50/x
  3. Step 3: Cross multiply
    71,451x = 104,962.50 × 104,962.50
  4. Step 4: Simplify right side
    71,451x = 11,017,126,406.25
  5. Step 5: Solve for x
    x = 11,017,126,406.25/71,451
  6. Step 6: Final answer
    x = 154,191.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.